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SVEN [57.7K]
3 years ago
5

Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or inte

ger.
Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

Slope = -7/2

Step-by-step explanation:

The standard equation of a line is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the equation y = -7/2 x - 5/8

Compare with the general equation

mx = -7/2x

Divide both sides by x

mx/x = -7x/2x

m = -7/2

Hence the slope of the line is -7/2

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The mean annual premium for automobile insurance in the United States is $1,499. Being from Pennsylvania, you believe automobile
timama [110]

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is  59 $

Step-by-step explanation:

From sample we get:

sample size    n  =  25

annual mean   x  =  1440

standard deviation of the sample   s  =  150

mean for the mean annual premium    μ  = 1499

Hypothesis Test:

Null Hypothesis                      H₀           x  =   μ

Alternative Hypothesis          Hₐ           x  <   μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume  confidence Interval 95 %    then  α  =  5 %   α = 0.05

As  n < 30 and we assume normality we will make a t-student test

degree of freedom    df  =  n  -  1    df  = 24

With df = 24  and  α = 0.05 and from t-student table we get t(c) =  - 1.711

To calculate t(s) we apply:

t(s)  =  (  x  -  μ ) / s/√n

t(s)  =  ( 1440  -  1499 ) * 5 / 150

t(s)  =  - 59/ 30

t(s)  =  - 1.96

Comparing t(s)  and t(c)  

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is :   x  - μ  =  59 $

3 0
3 years ago
Neptune’s diameter is a little less than 5 x 10 with a power of 7 meters.how is this number expressed in standard notation
UNO [17]

Answer:

So scientific notation would be 5 x 10 ^7, and standard would be 50,000,000

Step-by-step explanation:

The 7 means you move the decimal to the right 7 times, meaning you add 7 zeros.

4 0
3 years ago
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window
White raven [17]

Answer: 128.67 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression from the top of Nisha's window to the bottom of the sculpture ,the opposite side is the height Nisha's window from the ground (60), and the adjacent side is the distance between the building and the sculpture (x).

Replacing with the values given:  

Tan 25 = 60/x

Solving for x  

x =60 / tan 25

x = 128.67 feet.

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
Read 2 more answers
What's is the answer to (-5)^4​
Dmitriy789 [7]

Answer:

625

Step-by-step explanation:

i dont know why people keeps on deleting my answers that are right, but yeah this IS CORRECT STOP DELETING MY ANSWERS THAT ARE RIGHT....please

8 0
3 years ago
What is the value of x?<br> 4 3<br> 11<br> 36<br> 16<br> 0 17/<br> 7<br> 16
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Answer:..Step-by-step explanation:

8 0
3 years ago
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